Dispersion Relationships for Solid State Instability Growth and Sensitivity to Equation of State

Physics – Plasma Physics

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Scientific paper

We derive an approximate analytical dispersion relation for solid state Rayleigh-Taylor (RT) instability growth, and evaluate it using 1-D LASNEX calculations of the metal foils used in solid state RT growth experiments performed on the Nova laser, which we observed RT growth that is delayed relative to the classical (fluid) case by several ns. This analysis predicts that the short wavelength perturbations of the Nova experiments should remain stable at all times. When we account for dependence on initial amplitude of the perturbations, solid state growth should begin about 3 ns later than classical growth. These calculations are consistent with the observation of late-time (after 10 ns) growth in the Nova experiments if the metal takes a few ns to transition to plasticity or if the metal is very highly viscous after an immediate transition to plasticity. Finally, we show that since melt time is sensitive to EOS, a measurement of melt time can be an effective EOS model discriminator.

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